GCF of 60/792, 671/911, 899/142
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 60/792, 671/911, 899/142 i.e 1/51227352 easily. The following is the detailed procedure to determine the greatest common factor of fractions 60/792, 671/911, 899/142.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 60/792,671/911,899/142?
Given fractions are 60/792,671/911,899/142
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 60/792,671/911,899/142, numerators are 60,671,899
Denominators are 792,911,142
The GCF of 60,671,899 is 1 .
LCM of 792,911,142 is 51227352.
The greatest common factor of 60/792,671/911,899/142 = [GCF of 60,671,899]/[LCM of 792,911,142]= 1/51227352
Therefore, the GCF of 60/792,671/911,899/142 is 1/51227352.
To find the highest common factor of 60,671,899, we have to find the factors of both numbers and list the highest common factor.
The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
The factors of 671 are 1, 11, 61, 671
The factors of 899 are 1, 29, 31, 899
The HCF of 60,671,899 is 1.
Lets's calculate GCF of 60,671,899
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 60,671,899 By Matching Biggest Common Factor Method
Now, list down the factors of 60
:1,2,3,4,5,6,10,12,15,20,30,60
Now, list down the factors of 671
:1,11,61,671
Now, list down the factors of 899
:1,29,31,899
Greatest Common Factor
We found the factors 60,671,899 . The biggest common factor number is the GCF number.
So the greatest common factor 60,671,899 is 1.
Lets's calculate LCM of 792,911,142
| 2 | 792, 911, 142 |
| 396, 911, 71 |
∴ So the LCM of the given numbers is 2 x 396 x 911 x 71 = 51227352
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51227352
Therefore, the GCF of Fractions 60/792,671/911,899/142 is 1/51227352
Least Common Multiple of 792,911,142 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 792,911,142 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(792,911,142) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(792,911,142) x common factors =1 x 2 = 2
LCM(792,911,142) = ( 792 × 911 × 142 ) / 2
LCM(792,911,142) = 102454704 / 2
LCM(792,911,142) = 51227352
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FAQs on GCF of Fractions of 60/792, 671/911, 899/142
1. What is the HCF of 60,671,899?
The HCF of 60,671,899 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 60/792, 671/911, 899/142?
Answer: GCF of Numerators as per given numbers 60/792, 671/911, 899/142 is
GCF of Numerators i.e. for 60,671,899 is 1
LCM of denominators i.e. for 792,911,142 is 51227352.
Thus, GCF of Fractions is 1/51227352.Finally, GCF of Fractions for 60/792, 671/911, 899/142 is 1/51227352.